56 citations · 128 across the 9 of their papers we have counts for
9 papers
On a probabilistic evolutionary approach to ocean modelling: From Lorenz-63 to idealized ocean models
Igor Shevchenko, Pavel Berloff
In this study we develop an alternative way to model the ocean reflecting the chaotic nature of ocean flows and uncertainty of ocean models -- instead of making use of classical de…
A hyper-parameterization method for comprehensive ocean models: Advection of the image point
Igor Shevchenko, Pavel Berloff
Idealized and comprehensive ocean models at low resolutions cannot reproduce nominally-resolved flow structures similar to those presented in the high-resolution solution. Although…
A method for preserving nominally-resolved flow patterns in low-resolution ocean simulations: Constrained dynamics
Igor Shevchenko, Pavel Berloff
Inability of low-resolution ocean models to simulate many important aspects of the large-scale general circulation is a common problem. In the view of physics, the main reason for…
A method for preserving nominally-resolved flow patterns in low-resolution ocean simulations
Igor Shevchenko, Pavel Berloff
Accurate representation of large-scale flow patterns in low-resolution ocean simulations is one of the most challenging problems in ocean modelling. The main difficulty is to corre…
On a minimum set of equations for parameterisations in comprehensive ocean circulation models
Igor Shevchenko, Pavel Berloff
The complexity of comprehensive ocean models poses an important question for parameterisations: is there a minimum set of equations that should be parameterised, on the one hand, t…
Data assimilation for a quasi-geostrophic model with circulation-preserving stochastic transport noise
Colin Cotter, Dan Crisan, Darryl Holm +2
This paper contains the latest installment of the authors' project on developing ensemble based data assimilation methodology for high dimensional fluid dynamics models. The algori…
A Particle Filter for Stochastic Advection by Lie Transport (SALT): A case study for the damped and forced incompressible 2D Euler equation
Colin Cotter, Dan Crisan, Darryl D. Holm +2
In this work, we combine a stochastic model reduction with a particle filter augmented with tempering and jittering, and apply the combined algorithm to a damped and forced incompr…
Modelling uncertainty using stochastic transport noise in a 2-layer quasi-geostrophic model
Colin Cotter, Dan Crisan, Darryl D. Holm +2
The stochastic variational approach for geophysical fluid dynamics was introduced by Holm (Proc Roy Soc A, 2015) as a framework for deriving stochastic parameterisations for unreso…
Absorbing boundary conditions for the Westervelt equation
Barbara Kaltenbacher, Igor Shevchenko
The focus of this work is on the construction of a family of nonlinear absorbing boundary conditions for the Westervelt equation in one and two space dimensions. The principal ingr…